Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Tim Peters
[Tim Peters] >>> ... >>> trying 7 digits >>> 000 reached by 10 inputs >>> 8429652 reached by 990 inputs [Massimo Di Pierro] >> This is interesting >> >> The probability of a single fixed point in in 10**7 numbers is quite small. [Tim] > [elaborates, but doesn't really explain anything ;-)

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Tim Peters
[Massimo Di Pierro] > This is interesting [Tim Peters] >> trying 7 digits >> 000 reached by 10 inputs >> 8429652 reached by 990 inputs [Massimo] > The probability of a single fixed point in in 10**7 numbers is quite small. Well, note that the program was looking for cycles, not for fixed

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Mark Tolonen
"kirby urner" <[EMAIL PROTECTED]> wrote in message news:[EMAIL PROTECTED] Yutaka Nishiyama has this interesting article in the March 2006 issue of Plus, entitled 'Mysterious number 6174'. The theorem in this article is as follows: any 4-digit positive integer, stipulating all 4 digits *not* be

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Massimo Di Pierro
This is interesting trying 7 digits 000 reached by 10 inputs 8429652 reached by 990 inputs The probability of a single fixed point in in 10**7 numbers is quite small. On Jul 6, 2008, at 4:32 PM, Tim Peters wrote: trying 7 digits 000 reached by 10 inputs 8429652 reached by 9

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Tim Peters
[kirby urner] > Yutaka Nishiyama has this interesting article in the March 2006 issue > of Plus, entitled 'Mysterious number 6174'. > > The theorem in this article is as follows: any 4-digit positive > integer, stipulating all 4 digits *not* be the same one, may be > distilled to 6174 by the follow

Re: [Edu-sig] Mystery Number 6174

2008-07-06 Thread Scott David Daniels
kirby urner wrote: Yutaka Nishiyama has this interesting article in the March 2006 issue of Plus, entitled 'Mysterious number 6174'. The theorem in this article is as follows: any 4-digit positive integer, stipulating all 4 digits *not* be the same one, may be distilled to 6174 by the following

[Edu-sig] Mystery Number 6174

2008-07-06 Thread kirby urner
Yutaka Nishiyama has this interesting article in the March 2006 issue of Plus, entitled 'Mysterious number 6174'. The theorem in this article is as follows: any 4-digit positive integer, stipulating all 4 digits *not* be the same one, may be distilled to 6174 by the following process: extract the